Question
Factor polynomial $$ a^{2}-x^{2} $$
Answer
$$ a^{2}-x^{2} = (a+x)(a-x) $$
Explanation
Rewrite $ a^2-x^2 $ as:
$$ \color{blue}{ a^2-x^2 = (a)^2 - (x)^2 } $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = a $ and $ II = x $ , we have:
$$ a^2-x^2 = (a)^2 - (x)^2 = ( a-x ) ( a+x ) $$This page was created using
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